Sentence examples for law as a function of from inspiring English sources

The resulting piecewise affine optimal control law as a function of states can then be implemented online as a sequence of simple function evaluations.

The powder compact was considered as a continuum, and a linear elasticity law as a function of relative density was then used to express the elastic behavior of the powders.

The sufficient conditions for optimality and stability are used to derive an analytical expression for the control law as a function of the battery state of charge/state of energy and system parameters.

However, the change from positive to negative deviation of ηo with respect to the log-additivity mixing law as a function of composition suggests a structural transition from partial miscibility at the interface of the phase-separated domains to incompatibility.

In this paper, the excitation control law as a function of state variables is determined from the dynamics of the partly transformed new system provided that the controller stabilizes the remaining dynamics of the system which are not transformed through feedback linearization.

The assimilation of Flickr traces addressed some of the limitations of the gravity model: on the one hand, the flows over large distances, which are consistently underestimated by the gravity model due to the fast decay of the gravity law as a function of distance, can be successfully predicted by a hybrid gravity model.

The performance of the PV/UTC and UTC systems are evaluated based on the simple first law, first law defined as a function of electrical-to-thermal ratio number, and the second law efficiencies.

A least-square method applied to the water production rates, yields power laws as a function of the heliocentric distances for the pre- and post-perihelion phases.

It is found that the maximum levitation force (Fmlf), maximum attractive force (Fmaf) and the gap distance (Zmaf) corresponding to Fmaf can be well described by exponential laws as a function of Zfc, which allow us to predict these values according to Zfc.

The middle panel (Fig. 9) shows the number of occurrence of spectral slope values as a function of frequency, and the bottom panel (Fig. 9) represents the cumulative numbers of occurrence of power-laws as a function of power-law indices.

Additionally, all the indices can be modeled with power law curves, as a function of N, the number of atoms.